Traditional Culture Encyclopedia - Photography and portraiture - What is the projection theorem, what is the formula of the projection theorem

What is the projection theorem, what is the formula of the projection theorem

1. Projection theorem is also called "Euclidean theorem". In a right triangle, the height on the hypotenuse is the middle term of the ratio of the projection of the two right-angled sides on the hypotenuse. Each right-angled side is is the median of the ratio between the projection of this right-angled side on the hypotenuse and the hypotenuse.

2. Projection theorem is an important theorem in mathematical graphics calculation.

3. In Rt△ABC, ∠ABC=90°, BD is the height on the hypotenuse AC, then the projection theorem is as follows: BD2=AD·CD, AB2=AC·AD, BC2= CD·AC.

4. Proposed by Euclid, the famous ancient Greek mathematician and author of "Elements of Geometry".